n!!!! + 1
Table
Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>
277: | \[277!!!!+1\] | 2 × 127 × 43169227 × 3794780811907<13> × 4566913709387610846469409680021734648414251796073567240540455786645216858997890484638948415885776744600404467894297721<118> |